Least Common Multiple of 534 and 539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 534 and 539 the smallest integer that is 287826 that is divisible by both numbers.

Least Common Multiple (LCM) of 534 and 539 is 287826.

LCM(534,539) = 287826

LCM of 534 and 539

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 534 and 539

LCM of 534 and 539 is 287826

Least common multiple can be found by multiplying the highest exponent prime factors of 534 and 539. First we will calculate the prime factors of 534 and 539.

Prime Factorization of 534


2 534
3 267
89 89
1

Prime factors of 534 are 2, 3,89. Prime factorization of 534 in exponential form is:

534 = 21×31×891

Prime Factorization of 539


7 539
7 77
11 11
1

Prime factors of 539 are 7,11. Prime factorization of 539 in exponential form is:

539 = 72×111

Now multiplying the highest exponent prime factors to calculate the LCM of 534 and 539.

LCM(534,539) = 21×31×72×111×891
LCM(534,539) = 287826

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Least Common Multiple of 534 and 539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 534 and 539, than apply into the LCM equation.

GCF(534,539) = 1
LCM(534,539) = ( 534 × 539) / 1
LCM(534,539) = 287826 / 1
LCM(534,539) = 287826

Properties of LCM 534 and 539

(i) The LCM of 539 and 534 is associative

LCM of 534 and 539 = LCM of 539 and 534

Related Least Common Multiples of 534

Related Least Common Multiples of 539

Frequently Asked Questions on LCM of 534 and 539

1. What is the LCM of 534 and 539?

Answer: LCM of 534 and 539 is 287826.

2. What are the Factors of 534?

Answer: Factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534. There are 8 integers that are factors of 534. The greatest factor of 534 is 534.

3. What are the Factors of 539?

Answer: Factors of 539 are 1, 7, 11, 49, 77, 539. There are 6 integers that are factors of 539. The greatest factor of 539 is 539.

4. How to Find the LCM of 534 and 539?

Answer:

Least Common Multiple of 534 and 539 = 287826

Step 1: Find the prime factorization of 534

534 = 2 x 3 x 89

Step 2: Find the prime factorization of 539

539 = 7 x 7 x 11

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 287826 = 2 x 3 x 7 x 7 x 11 x 89

Step 4: Therefore, the least common multiple of 534 and 539 is 287826.